Absolutely maximally entangled state: Difference between revisions
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== Property == |
== Property == |
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The AME state does not always exit, in some give local dimension and number of party, there is no AME state. For a table of AME state in low dimensions, see [http://www.tp.nt.uni-siegen.de/ +fhuber/ame.html table of AME states]. |
The AME state does not always exit, in some give local dimension and number of party, there is no AME state. For a table of AME state in low dimensions, see [http://www.tp.nt.uni-siegen.de/ +fhuber/ame.html table of AME states]. |
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== References == |
Revision as of 11:35, 1 February 2023
The absolutely maximally entangled (AME) state is a concept in quantum information science, which has many applications in quantum error-correcting code[1], discrete AdS/CFT correspondence[2], and AdS/CMT correspondence[2], etc.
Definition
The bipartite maximally entangled states is the one that the reduced density operators are maximally mixed, i.e., . Typical examples are Bell states.
A multipartite state of a system is called called absolutely maximally entangled if for any bipartition of , the reduced density operator is maximally mixed , where .
Property
The AME state does not always exit, in some give local dimension and number of party, there is no AME state. For a table of AME state in low dimensions, see table of AME states.
References
- ^ Goyeneche, Dardo; Alsina, Daniel; Latorre, José I.; Riera, Arnau; Życzkowski, Karol (2015-09-15). "Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices". Physical Review A. 92 (3): 032316. doi:10.1103/PhysRevA.92.032316.
- ^ a b Pastawski, Fernando; Yoshida, Beni; Harlow, Daniel; Preskill, John (2015-06-23). "Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence". Journal of High Energy Physics. 2015 (6): 149. doi:10.1007/JHEP06(2015)149. ISSN 1029-8479.